Invariance Principle | Part 2 | Cheenta

Problem useful for I.S.I B.Stat B.Math Entrance, CMI Entrance and Math Olympiad.
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[@meghaneeldey5385]

I have never come across a channel that not only selects beautiful problems but also explains them with such passion. This is really great!

[@Neerajkumar-xl9kx]

I did like this, x-2(60-x)=50 solve for x, if it is integer then possible else no

[@ilyanebraij8495]

Thanks I am really glad to have found this channel the quality of the content is really good I love the invariance principle , have this type of thinking can help you solve really tricky problems , love it , it is just sad that (here in belgium) we don't learn such interesting things about problem soving in class , and they make maths just like something you have to study the formulas for the day of the exam and then forget them , I always hated maths , even though I was in love with sciences , by watching documentaries and thinking about it since a long time . But know that I have discovered by myself what maths is really amazing , cool , and I just love to think about problems in maths or in science in general I have entered university ina maths , but I still don't see any problem solving techniques , so I decided to learn them by myself and also now that I know your channel , with you channel , thanks for that and I hope to see more videos from this channel keep it up , that's really a good channel!!! thanks !!!

[@Cheenta]

Thanks for watching. We focus on beautiful problems in this channel. Keep watching. We love your comments

[@saumysharan1358]

Very nice question.was able to crack it.thanks🙂

[@adityachk2002]

You could go how the channel primer does but keep this side too

[@shalvagang951]

As you just saw in 10 minutes there is no possibility of 0 persons hence we can say after 50 minutes we can have 50 persons and if we mod it with 2
We would get it the same cases as 10 then after minutes. If there is to be 50 persons only cant be possible because the previous case of 10 was not possible
(More like a recurrence to use)

[@natureisthenurturer5539]

sir, you took 10 cases to prove the invariance sir is it a correct method as taking examples and proving is not allowed in olympiads. Sir, I would be grateful if you respond back.

[@momomtjiddu3920]

That's what I want to know

[@sushilarya2005]

n=1,n=2,n=0,n=1,n=2,n=0,n=1n=2,n=0,n=1 then after using 10 minutes we make n approach 50 meaning no one leaves the room and now in 10+50 = 60 minutes we have 50 people in the room

[@mqx133]

Great. I solve it like this. First of all i want to say i dont know english well that is why may be i have some grammatical mistakes in my sentences/ Im sorry about it.
1 hour means 60 minutes. It means we have 60 moves. we can say them x and y. When we add a person into a room lets say it x and when we remove 2 person lets say y. x+y=60 and x-2y=50 2x-y=110 3x=170 170:3 :((((((((((((((((((( that is why it is impossible

[@Cheenta]

Great! Mathematics has its own language. Don't worry about English :)

[@mqx133]

@@Cheenta :))))